A newly developed numerical approach MFPA2D (material failure process analysis)Code is presented to simulate the failure process of brittle material containing single hole or double holes under uniaxial compression. Numerical simulation results show that initial cracks are not always the leading cracks which result in the ultimate macroscopical perforation failure. And brittle materials have a localization characteristic when they damage. It is also shown that nonhomogeneity is the essential reason of brittle material’s local failure. The influence of hole distribution on the material strength and failure mode is studied. Stress-strain curves of failure process for models are provided. The material strength decreases 50% if it contains a single hole or double holes. It is indicated that some hole distribution can increase the stress concentration and some hole distribution can decrease the stress concentration．The numerical simulation results are consistent with the experimental results